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      Question

      C is 37.5% more efficient than A, and A is 60% more

      efficient than B. If A, B, and C together can complete a task in 40 days, how long will it take A alone to complete 75% of the task?
      A 100 days Correct Answer Incorrect Answer
      B 60 days Correct Answer Incorrect Answer
      C 90 days Correct Answer Incorrect Answer
      D 120 days Correct Answer Incorrect Answer

      Solution

      Let efficiency of โ€˜Bโ€™ โ€˜5xโ€™ units per day

      Efficiency of โ€˜Aโ€™ = 1.60 ร— 5x = 8x units per day

      Efficiency of โ€˜Cโ€™ = 1.375 ร— 8x = 11x units per day

      Total work = (3x + 8x + 11x) ร— 40 = 960x units

      Desired time = (0.75 ร— 960x)/8x = 90 days

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